How do you find the X and Y intercepts of -x+2y=8?

1 Answer
Oct 2, 2015

Answer:

x-intercept: #(-8)#
y-intercept: #4#

Explanation:

The x-intercept is the value of #x# where the graph crosses the X-axis; for all points on the X-axis, #y=0#
Therefore the x-intercept is the value of #x# when #y=0# for the given equation (#-x+2y=8#)

#color(white)("XXX")-x+2(0)=8#
#color(white)("XXX")x=-8#

Similarly the y-intercept is the value of #y# when #x=0# in the given equation.

#color(white)("XXX")-0+2y=8#
#color(white)("XXX")y=4#